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2 years ago

This table shows the varying costs for packages of juice.

Mathematics

1 answer:

Soloha48 [4]2 years ago

7 0

You need a picture of the table in order for us to solve

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Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of

Alex17521 [72]

Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

$2(L+x)=16 \\ \\ \Rightarrow L+x=8 \\ \\ \Rightarrow x=8-L$

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

$L(8 - L) = 8L-L^2$

Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

$dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)$

3 0

3 years ago

Convert the following equation into standard form. 2y = 4x – 9 - [?]x+[ ]y = -9

Tresset [83]

Answer: 2x - 2y = 9

here you go

4 0

2 years ago

Solve for x. x= Look at image

postnew [5]

Answer:

$x = 14$

Step-by-step explanation:

To find x, the following equation is generated given the available information:

$\frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12}$

$\frac{2x + 7}{x + 7} = \frac{20}{12}$

$\frac{2x + 7}{x + 7} = \frac{5}{3}$

Cross multiply

$3(2x + 7) = 5(x + 7)$

$6x + 21 = 5x + 35$

Collect like terms

$6x - 5x = - 21 + 35$

$x = - 21 + 35$

$x = 14$

8 0

3 years ago

Complete the equation of variation where y varies inversely as x and y = 0.125 when x = 8.

patriot [66]

Complete the equation of variation where y varies inversely as x and y = 0.125
when x=8

3 0

3 years ago

What are the missing coordinates? My teacher said it was (h-m,n), but I’m saying it is (h+m,n). Could anyone help?

antiseptic1488 [7]

Answer:

You are right, the coordinates are:

$(h+m,n)$

Explanation:

Here is how you can proove that you are right.

Note that m is the x-coordinate of the point $(m,n)$ . Since this point is to the left of the y-axis, it is a negative number, but the negative sign is included in $m$ .

The distance from $(m,n)$ to the y-axis is not $m$ but $-m$ .

That is the same distance from the point with the missing coordinates to the point (h,0).

Then, the missing x-coordinate is $h-(-m)=h+m.$

Of course, there is not doubt about the y-coordinate: it is n, because the point with the missing coordinates is at the same height as (m,n).

Hence, the missing coordinates are x = h+m, and y = n: (h + m, n).

3 0

2 years ago